To start, we assume that an experimental set-up is captured by a Hamiltonian operator. Typically, this Hamiltonian depends on the available system parameters, e.g. cavity size and field strength in optics and photonics (see e.g. the review in [1]}).
This induces a manifold of system parameter values, which we denote by \(M\) . We thus obtain a family of experimental set-ups, and so a family of Hamiltonians, described by a map
\(H \colon M \rightarrow \mathrm {End}(V),\) 
